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13832009 is a prime number
BaseRepresentation
bin110100110000…
…111101001001
3222000201221122
4310300331021
512020111014
61212245025
7225366362
oct64607511
928021848
1013832009
117898214
124770775
132b33b29
141ba0b69
15133358e
hexd30f49

13832009 has 2 divisors, whose sum is σ = 13832010. Its totient is φ = 13832008.

The previous prime is 13831963. The next prime is 13832011. The reversal of 13832009 is 90023831.

13832009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13104400 + 727609 = 3620^2 + 853^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13832009 is a prime.

Together with 13832011, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (13832069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6916004 + 6916005.

It is an arithmetic number, because the mean of its divisors is an integer number (6916005).

Almost surely, 213832009 is an apocalyptic number.

It is an amenable number.

13832009 is a deficient number, since it is larger than the sum of its proper divisors (1).

13832009 is an equidigital number, since it uses as much as digits as its factorization.

13832009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 13832009 is about 3719.1408954220. The cubic root of 13832009 is about 240.0463394318.

The spelling of 13832009 in words is "thirteen million, eight hundred thirty-two thousand, nine".